Mean Median Mode Range Calculator
Calculate the mean, median, mode and range of a data set together with the minimum, maximum, sum, count, first quartile, third quartile and interquartile range. Multiple modes are supported, and the sorted data is shown for verification.
Sorted data: 9, 10, 12, 13, 13, 15, 18, 22
How to use the Mean Median Mode Range Calculator
- Enter numbers separated by spaces, commas, semicolons or line breaks.
- The values are sorted from smallest to largest.
- The arithmetic mean is calculated from the sum divided by the number of values.
- The middle value or middle pair determines the median.
- Frequency counts identify one or more modes, while the maximum minus minimum gives the range.
Examples
Mean
For 2, 4, 6 and 8, the mean is 5 because their sum is 20 and there are four values.
Median
For 1, 3 and 9, the median is 3 because it is the middle sorted value.
Multiple modes
A data set can have more than one mode when several values share the highest frequency.
Frequently asked questions
What is the difference between mean and median?
The mean uses every value in the data set, while the median is the central value after sorting.
Can a data set have more than one mode?
Yes. Multiple values are modes when they occur with the same highest frequency.
What is the range?
The range is the maximum value minus the minimum value.
What is IQR?
The interquartile range is Q3 minus Q1 and describes the spread of the middle half of the data.
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